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Finding the Fourth Proportional to 1,617.63, 2,232.36 and 918.99

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Solution

The fourth proportional to 1,617.63, 2,232.36 and 918.99 is: 1,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.63 : 2,232.36 = 918.99 : x
  2. Step 2: Convert to fraction form
    1,617.63/2,232.36 = 918.99/x
  3. Step 3: Cross multiply
    1,617.63x = 2,232.36 × 918.99
  4. Step 4: Simplify right side
    1,617.63x = 2,051,516.52
  5. Step 5: Solve for x
    x = 2,051,516.52/1,617.63
  6. Step 6: Final answer
    x = 1,268.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.